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Finding the Fourth Proportional to 12,685.10, 17,514.05 and 7,906.95

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Solution

The fourth proportional to 12,685.10, 17,514.05 and 7,906.95 is: 10,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.10 : 17,514.05 = 7,906.95 : x
  2. Step 2: Convert to fraction form
    12,685.10/17,514.05 = 7,906.95/x
  3. Step 3: Cross multiply
    12,685.10x = 17,514.05 × 7,906.95
  4. Step 4: Simplify right side
    12,685.10x = 138,482,678.11
  5. Step 5: Solve for x
    x = 138,482,678.11/12,685.10
  6. Step 6: Final answer
    x = 10,916.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.